Free Printable Quadratic Transformations: Horizontal & Vertical Translations

1.

If you are shifting the quadratic equation RIGHT, how does the equation change?

a)

You add a numebr inside the parentheses.

b)

You subtract a number inside the parentheses.

c)

You add a number outside the parentheses.

d)

You subtract a number outside the parentheses.

2.

If you are shifting a quadratic equation to the LEFT, how does the equation change?

a)

You add a number outside the parentheses.

b)

You subtract a number outside the parentheses.

c)

You add a number inside the parentheses.

d)

You subtract a number inside the parentheses.

3.

Which equation is the parent quadratic function?

a)

$y\ =\ x^2$

b)

$y\ =\ x$

c)

$y^{2\ }=\ x$

d)

$y\ =\ 2x$

4.

Which equation shifts the quadratic parent function six units to the right?

a)

$y\ =\ \left(x\ +\ 6\right)^2$

b)

$y\ =\ \left(x\ -\ 6\right)^2$

c)

$y\ =\ x^2+6$

d)

$y\ =\ x^2-6$

5.

Which equation shifts the quadratic parent function 7 units to the left?

a)

$y\ =\ \left(x\ +\ 7\right)^2$

b)

$y\ =\ \left(x\ -7\right)\ ^2$

c)

$y\ =\ x^2+7$

d)

$y\ =\ x^2-7$

6.

If you are shifting the quadratic parent function UP, how does this change the equation?

a)

Add a number inside the parentheses.

b)

Subtract a number inside the parentheses.

c)

Add a number outside the parentheses.

d)

Subtract a number outside the parentheses.

7.

If you are shifting the quadratic parent function DOWN how does this change the equation?

a)

Add a number inside the parentheses.

b)

Subtract a number inside the parentheses.

c)

Add a number outside the parentheses.

d)

Subtract a number outside the parentheses.

8.

Which equation shifts the quadratic parent function up eleven units?

a)

$y\ =\ x^2+11$

b)

$y\ =\ x^2-11$

c)

$y\ =\ \left(x\ +\ 11\right)^2$

d)

$y\ =\ \left(x\ -\ 11\right)^2$

9.

Which equation shifts the quadratic parent function down four units?

a)

$y\ =\ x^2+4$

b)

$y\ =\ x^2-4$

c)

$y\ =\ \left(x\ +\ 4\right)^2$

d)

$y\ =\ \left(x\ -\ 4\right)^2$

10.

Describe the transformation of the quadratic function.

Parent Function: $f\left(x\right)\ =\ x^{2\ }$

Transformed Function: $f\left(x\right)\ =\ \left(x\ -\ 6\right)^2$

a)

Horizontal Shift Right 6

b)

Horizontal Shift Left 6

c)

Vertical Shift Down 6

d)

Vertical Shift Up 6

11.

Describe the transformation of the quadratic function.

Parent Function: $f\left(x\right)\ =\ x^{2\ }$

Transformed Function: $f\left(x\right)\ =\ \left(x\ +\ 26\right)^2$

a)

Horizontal Shift Right 26

b)

Horizontal Shift Left 26

c)

Vertical Shift Down 26

d)

Vertical Shift Up 26

12.

Describe the transformation of the quadratic function.

Parent Function: $f\left(x\right)\ =\ x^{2\ }$

Transformed Function: $f\left(x\right)\ =\ x^2+3$

a)

Horizontal Shift Right 3

b)

Horizontal Shift Left 3

c)

Vertical Shift Down 3

d)

Vertical Shift Up 3

13.

Describe the transformation of the quadratic function.

Parent Function: $f\left(x\right)\ =\ x^{2\ }$

Transformed Function: $f\left(x\right)\ =\ x^2-1$

a)

Horizontal Shift Right 1

b)

Horizontal Shift Left 1

c)

Vertical Shift Down 1

d)

Vertical Shift Up 1

Quadratic Transformations: Horizontal & Vertical Translations

Total questions: 13

Worksheet time: 26mins

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